Inverse operations are mathematical operations that undo one another. Division is the inverse operation of multiplication. -2 × 6 = -12. -12 ÷ 6 then "undoes" this multiplication, leaving us with a quotient of -2. Multiplication and division follow the same rules related to signs. A negative integer multiplied by a positive integer gives us a negative product. Similarly, a negative integer divided by a positive integer gives us a negative quotient. However, unlike multiplication, division is not commutative. If you change the order of the number you're dividing and the number you're dividing by, you will get a different quotient. Find the quotient: -54 ÷ 9 =

Step-by-step explanation:

Ethan sold 2/3 gallon of lemonade.

Kayla sold some lemonade too.

Together they sold 1 1/4 gallons.

Subtract 2/3 from 1 1/4 as follows :

[tex]S=1\dfrac{1}{4}-\dfrac{2}{3}\\\\=\dfrac{5}{4}-\dfrac{2}{3}\\\\=\dfrac{7}{12}[/tex]

So, Kayla sold 7/12 gallons of lemonade.

As 2/3 is more than 7/12, it means Ethan sold more lemonade.

[tex]\dfrac{2}{3}-\dfrac{7}{12}=\dfrac{1}{12}[/tex]

It means Eathn sold 1/12 more lemonade.

Long division is easier than you think. Here's how to solve this problem:

1. See how many times 36 can go into 66.

Multiply until you reach a number that is closest (or exact) to 66.

36 x 1 = 36; 36 x 2 = 72.

72 is over 66, so 2 doesn't work. Therefore, we'd put "1" in the first space on the shelf (right above the 6).

2. Subtract.

Now that we have "1" on the shelf, you need to subtract 36 by 66. We do this because 36 x 1 is 36. If it were the number "2" on the shelf, we'd subtract 72, and so on.

66 - 36 = 30.

3. See how many times 36 can go into 30.

Since it can't go into 30, we bring the 3 down (hence the arrow pointing down). The number is now 303.

4. See how many times 36 can go into 303.

I won't write it all out, but after multiplying 1-7 by 36, we find that the closest solution is 36 x 8 = 288.

We put "8" on the shelf, next to "1".

5. Subtract.

Now that "8" is on the shelf, we subtract 288 by 303, which gives us 15.

Since 36 cannot go into 15, and there are no more numbers we can drag down, your remainder is 15.

Your answer is:

36 R 15

The first two boxes under 663 should be filled with 36, the next three under that should have 303, the next three should have 288, and the final two boxes should have 15.

I hope this helped!

Answer:

below

Step-by-step explanation:

improper fraction: 14/5

as a decimal: 2.8

proper fraction: 2 4/5

Answer: about 6 feet

Step-by-step explanation:

3^2+5.2^2=36.4

Square root of 36 is 6

Answer:

missing value is 5

Step-by-step explanation:

Change them to all have the same denominator

8/12 + 3x/12 = 23/12

multiply all by 12

8 + 3x = 23

subtract 8

3x = 15

divide by 3

x = 5

Answer:

(2,7) x=2 y=7

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Let's drag the x line to the other side with the 14 and 48.

Then we do the Pythagorean theorem like 14^2 + 48^2 = x^2.

So then we get that x^2 is 2500

then we clearly know the square root of 2500 is 50

So 50 is our answer.

Answer:

x = 50in.

Step-by-step explanation:

[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]

[tex]14^{2}[/tex] + [tex]48^{2}[/tex] = 2500

[tex]\sqrt{2500}[/tex] = 50

Answer:

4:3

4 being triangles and 3 being circle.

Essentially, for every 4 triangles there are 3 circles.

Let me know if you need more help, :)

The ratio of number of circles to the total number of shapes is 3 : 7

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the total number of triangles be = A

Now , the value of A is 8

Let the total number of circles be = B

Now , the value of B is 6

So , the equation will be

The total number of shapes = total number of triangles + total number of circles

The total number of shapes = 8 + 6

The total number of shapes = 14 shapes

Now , the ratio of total number of circles to total number of shapes is =

total number of circles : total number of shapes

Ratio of total number of circles to total number of shapes = 6 : 14

On simplifying the ratio , we get

Ratio of total number of circles to total number of shapes = 3 : 7

Hence ,

The ratio of number of circles to the total number of shapes is 3 : 7

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ2

Answer:

Number of adult tickets  = 298

Number of child tickets = 140

Step-by-step explanation:

Number of adult tickets  = a

Number of child tickets = c

a + c = 438      -------------------(I)

14a + 6c = 5012  ----------------(II)

Multiply equation (I) by (-6) and then add, so c will be eliminated.

(I) * (-6)           -6a - 6c = -2628

(II)                  14a + 6c =  5012   {Add}

                      8a       =  2384

                           a    = 2384/8

a = 298

Plugin a  = 298 in equation (I)

298 + c = 438

         c = 438 - 298

         c = 140

Answer:

Annie's Orange Grove

Step-by-step explanation:

* you need to find out how much each pound of oranges cost at both orchards.

* to do so you take the total amount of money and divide it by the number of pounds you get.

1) 7.25 ÷ 20 = .36

2) 5 ÷12 = .4

* as you can see .36 is less than .4 and therefore is the better deal.

Answer:

No, they are not.

Step-by-step explanation:

Answer:

x = 3 quarters

Step-by-step explanation:

Tony = x quarters

Jane = (x + 3) quarters

Rob = 2(x + 3) quarters

Rob and Jane have $4.50 in quarters.

$1 = 4 quarters.

$4.50 = ( 4 × 4.5 ) quarters

= 18 quarters.

(x + 3) + 2(x + 3) = 18

x + 3 + 2x + 6 = 18

3x + 9 = 18

3x = 18 - 9

3x = 9

x = 9/3

x = 3

(A) The expression x + 3 represents the number of quarters Jane has. YES

x + 3

= 3 + 3

= 6 quarters

(B) The expression x – 3 represents the number of quarters Rob has.

NO

(C) Tony has quarters.

Tony = x quarters

= 3 quarters

Rob = 2(x + 3) quarters

= 2(3 + 3) quarters

= 2(6) quarters

= 12 quarters

Answer:

(A) The expression x + 3 represents the number of quarters Jane has.

B) The expression 2(x+3)  represents the number of quarters Rob has.

(C) Tony has 3 quarters.

Step-by-step explanation:

Answer: 20 2/5

Step-by-step explanation: 60/100=x/34

100x/100=2040/100

x=102/5=20 2/5

Question:

A package of 8 pens costs $1.09. Milo’s work to find the unit price of the pack is shown below.

8p/$1.09 =

8÷$1.09  =

$7.34

Where did Milo make his first error?

Answer:

He wrote the unit rate incorrectly.

Step-by-step explanation:

Given

[tex]Pens = 8[/tex]

[tex]Cost = \$1.09[/tex]

Required

Determine Milo's error

First, we need to solve for the unit price; then compare our results with Milo's

[tex]Unit\ Price = \frac{Cost}{Pens}[/tex]

[tex]Unit\ Price = \frac{\$1.09}{8}[/tex]

[tex]Unit\ Price = \$0.13625[/tex]

Comparing the calculation with Milo's:

We can see that he made wrong calculations i.e. in other words, he solved the required incorrectly

Answer:

-n+1

Step-by-step explanation:

h(n)-g(n) =n+2-2n-1 ,collect like terms

n-2n+2-1 = -n+1

Answer:

Step-by-step explanation:

The options:

A. The bases are parallel and congruent.

B. The segment from the top to the center of the base is perpendicular to the base.

C. All the faces are congruent pentagons.

D. The base is a pentagon and the sides are triangles.

E. The base must be a regular polygon.

Answer:

2 and 4

Step-by-step explanation:

edge 2021

Answer:

12%

Step-by-step explanation:

So 5.5 to 5.62 is .12

Then calculate the difference of 5.5 *.12=0.66

Then do “0.66 is what percent of 5.5?”

The answer is 12%

Thank you for reading, and mark this brainliest

Answer:

Q15.d) 11.8L

Step-by-step explanation:

Please see the attached pictures for the full solution. (Picture 1 &2)

I have also attached the workings for part a-c from pictures 3 and onwards.

Answer:

They are all not a function

Step-by-step explanation:

a function can only have one output.

3 in this set has 3 outputs and 7 in this set has 3 outputs aswell

Answer:

f = -0.032

Step-by-step explanation:

I looked it up

Answer:

-0.032

Step-by-step explanation:

f/-3.2=0.01

f=-3.2×0.01 (cross multiplication)

f=-3.2×1/100

f=-0.032

Answer:

You dare challenge me...

Step-by-step explanation:

Gaius Julius Caesar was a Roman general and statesman who played a critical role in the events that led to the demise of the Roman Republic and the rise of the Roman Empire. In 60 BC, Caesar, Crassus and Pompey formed the First Triumvirate, a political alliance that dominated Roman politics for several years.

Answer:

umm that doesn't make a whole lot of sense if its multiple choice can you give us the options please sorry I couldn't answer

Step-by-step explanation:

Answer:

234

Step-by-step explanation:

65              x

---    =        ---

5                18

a: 27.324 (rounded to the nearest cent is $27.32)

b: 18.0088% (rounded to the nearest percent is 18.01% or 18%)